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math.DS2023
Transitions in echo index and dependence on input repetitions
Peter Ashwin, Andrea Ceni
The echo index counts the number of simultaneously stable asymptotic responses of a nonautonomous (i.e. input-driven) dynamical system. It generalizes the well-known echo state pro…
math.DS2020
The Echo Index and multistability in input-driven recurrent neural networks
Andrea Ceni, Peter Ashwin, Lorenzo Livi +1
A recurrent neural network (RNN) possesses the echo state property (ESP) if, for a given input sequence, it ``forgets'' any internal states of the driven (nonautonomous) system and…